Characteristics of Inductance Parameters in Single-Layer Double-Row Linear Induction Motors with Gramme-Ring Windings under Anti-Phase Power Supply
Li Yanfei1,2, Li Zixin1,2, Zhang Hang1, Zhao Cong1, Li Yaohua1,2
1. State Key Laboratory of High Density Electromagnetic Power and Systems Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100190 China; 2. University of Chinese Academy of Sciences Beijing 100049 China
Abstract：The single-layer double-row induction motor with Gramme-ring windings exhibits advantages such as low manufacturing difficulty, high fault tolerance, and convenient assembly, demonstrating broad application prospects in high-speed electromagnetic drive fields. However, strong magnetic coupling within the motor’s back-gap region and pronounced static longitudinal end effects under segmented power supply operation significantly complicate parameter analysis. This study employs an anti-phase power supply method to suppress the back-gap leakage magnetic field, with a focus on deriving analytical expressions for the air-gap magnetic flux density distribution function and inductance parameters under anti-phase power supply operation. Firstly, this paper explains the principle by which anti-phase supply weakens the back-gap magnetic field and reduces winding leakage inductance. Classical magnetomotive force (MMF) theory is then applied to analyze the relationship between the air-gap MMF in energized segments and the magnetic flux on both sides of these segments under an anti-phase power supply. Subsequently, an equivalent magnetic circuit model incorporating stator inter-segment air gaps is established for anti-phase power supply operation. Accordingly, equivalent magnetic reluctances on both sides of the energized segments are derived, revealing the spatial attenuation patterns of magnetic fields on the left and right sides. Finally, analytical expressions for the air-gap magnetic flux density distribution within the energized segments are further obtained, and stator inductance parameters corresponding to the air-gap magnetic field are ultimately derived. Experimental results demonstrate that under anti-phase power supply mode, the average six-phase self- inductance of the stator in the prototype decreases by 15.86% compared to in-phase power supply mode (3.512 mH vs. 4.174 mH), confirming the suppression of the back-gap magnetic field. Two-dimensional finite element simulations reveal: (1) Close agreement between the finite element results for single-phase air-gap flux density distribution and the analytical solutions derived in this work, validating the correctness of the flux density model. (2) The flux density amplitude exhibits a decaying trend with increasing distance from the excitation source (energized windings), approaching zero by the 6th segment. This phenomenon aligns with predictions from the equivalent magnetic reluctance recursive model. When the number of unpowered stator segments on the left side reaches or exceeds 6, the equivalent magnetic reluctance stabilizes, indicating complete magnetic flux attenuation and disconnection of the distal flux path. Furthermore, stator inductance measurements show that while the six-phase self-inductance experimental mean (3.512 mH) deviates from the analytical result (2.860 mH) due to unmodeled winding self-leakage inductance, the remaining seven mutual inductance parameters exhibit a maximum relative error of 7.78% between experimental and analytical values. The conclusions are as follows. (1) Compared with an in-phase supply, the anti-phase power supply method effectively suppresses the back-gap leakage magnetic field and reduces motor leakage inductance (experimental results show a 15.86% reduction in six-phase self-inductance). (2) The proposed magnetic circuit model accurately characterizes the air-gap flux density distribution in energized segments and predicts the spatial attenuation patterns of magnetic fields on both sides. (3) The analytical expressions for inductance parameters corresponding to the air-gap magnetic field demonstrate sufficient accuracy, with maximum errors below 8% compared to experimental measurements.
李彦飞, 李子欣, 张航, 赵聪, 李耀华. 单层双列背绕式直线感应电机反相供电下电感参数特性研究[J]. 电工技术学报, 2025, 40(22): 7140-7152.
Li Yanfei, Li Zixin, Zhang Hang, Zhao Cong, Li Yaohua. Characteristics of Inductance Parameters in Single-Layer Double-Row Linear Induction Motors with Gramme-Ring Windings under Anti-Phase Power Supply. Transactions of China Electrotechnical Society, 2025, 40(22): 7140-7152.
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2025, Vol. 40 
